a.) lim(x [|x|] + 1) =? b.) lim 1-cos(tanx) =? tanx lalete the imtc of thefnctions nere

Q: cos² 0 - 1 1 inet 12. lim

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Q: tan 0 (2) Lim = 1 %3D

A: We first expand the series of tan x and then proceed as explained below:

Q: Show that

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Q: A. Let 0 = 2x, then the identity cos 2x = 1-2 sin2 x becomes cos e = 1–2 sin2 (0/2). a. Use this…

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Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: LCM (least common multiple)  tan x = sin x / cos x cot x = cos x/ sin x  Also, tan x * cot x = 1

Q: 1. Evaluate lim X-0 A. 0 B. 31 tan ³3x C. 27 D.00

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Q: sec²0-1 0 0 3 sin²0 2. Find lim

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.